A median filter on a vector has a size, for example, a size of 3 means calculating the median of every three values in the vector. The first and last elements are left alone

A median filter on a vector has a size, for example, a size of 3 means calculating the median of every three values in the vector. The first and last elements are left alone. Starting from the second element to the next-to-last element, every element of a vector vec(i) is replaced by the median of [vec(i-1) vec(i) vec(i+1)]. For example, if the signal vector is signal = [5 11 4 2 6 8 5 9] the median filter with a size of 3 is medianFilter3 = [5 5 4 4 6 6 8 9] Write a function to receive the original signal vector and return the median filtered vector.